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Logarithm question?
If log of 5 base a = 1.77 and log of 2 base a is 1.23
Find log of (Fourth root of two over 5) base A
The correct answer is -0.64, but I can't seem to get it. I come up with -1.4625, where am I going wrong?
I use the quotient rule, and then the power rule, but come up with the wrong answer. =/
2 Answers
- shaanLv 41 decade agoFavorite Answer
log of 2^1/4 base a - log of 5 base a
then 1/4(1.23)-(1.77)= -1.4625
Maybe whoever told you the answer forgot the fourth root thing, because 1.23-1.77= -.64
- Anonymous1 decade ago
Find log of (Fourth root of two over 5) base A
Log(2^0.25/5) = log(2^0.25) – log 5 = 0.25 log(2) – log(5)
= 0.25 x 1.23 – 1.77 = -1.46
If I have understood the question correctly, then I seem to agrre with you!